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physics.class-ph2026
Asymptotically exact dimension reduction of functionally graded anisotropic rods
Khanh Chau Le
This study utilizes the variational-asymptotic method to establish a one-dimensional theory for functionally graded rods characterized by general anisotropy from the three-dimensio…
physics.class-ph2025
A lower bound for the energy decay rate in piezoelectricity
Khanh Chau Le
This paper establishes a lower bound for the energy decay rate in piezoelectric cylinders. The bound incorporates material properties and geometric factors, including the cross-sec…
physics.class-ph2025
Asymptotically exact theory of functionally graded elastic beams
Khanh Chau Le, Tuan Minh Tran
We construct a one-dimensional first-order theory for functionally graded elastic beams using the variational-asymptotic method. This approach ensures an asymptotically exact one-d…